72690304 has 32 divisors (see below), whose sum is σ = 151115040. Its totient is φ = 34763520.

The previous prime is 72690271. The next prime is 72690323. The reversal of 72690304 is 40309627.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×72690304² = 10567760591224832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9402 + ... + 15289.

It is an arithmetic number, because the mean of its divisors is an integer number (4722345).

Almost surely, 2^72690304 is an apocalyptic number.

It is an amenable number.

72690304 is an abundant number, since it is smaller than the sum of its proper divisors (78424736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72690304 is a wasteful number, since it uses less digits than its factorization.

72690304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24728 (or 24716 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 72690304 is about 8525.8608949478. The cubic root of 72690304 is about 417.3420660718.

The spelling of 72690304 in words is "seventy-two million, six hundred ninety thousand, three hundred four".